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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 398 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.37 × 15 =
  2. 2.12345679 × 18 =
  3. 3.12345679 × 36 =
  4. 4.111111 × 111111 =
  5. 5.12345 × 8 + 5 =
  6. 6.37 × 27 =
  7. 7.37 × 21 =
  8. 8.1234567 × 8 + 7 =
  9. 9.12345679 × 45 =
  10. 10.12345678 × 9 + 9 =
  11. 11.12345678 × 8 + 8 =
  12. 12.37 × 9 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 18 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 63 =
  17. 17.11 × 11 =
  18. 18.123456 × 8 + 6 =
  19. 19.12345679 × 27 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 54 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12 × 9 + 3 =
  25. 25.11111 × 11111 =
  26. 26.12345679 × 81 =
  27. 27.12345679 × 72 =
  28. 28.37 × 12 =
  29. 29.37 × 6 =
  30. 30.37 × 24 =
  31. 31.1234 × 9 + 5 =
  32. 32.111 × 111 =
  33. 33.12345679 × 9 =
  34. 34.1234 × 8 + 4 =
  35. 35.1111 × 1111 =
  36. 36.1111 × 1111 =
  37. 37.37 × 15 =
  38. 38.12345 × 9 + 6 =
  39. 39.123456 × 9 + 7 =
  40. 40.12345679 × 9 =

Answer key

  1. 555
  2. 222222222
  3. 444444444
  4. 12345654321
  5. 98765
  6. 999
  7. 777
  8. 9876543
  9. 555555555
  10. 111111111
  11. 98765432
  12. 333
  13. 1111
  14. 666
  15. 987
  16. 777777777
  17. 121
  18. 987654
  19. 333333333
  20. 987654321
  21. 98
  22. 666666666
  23. 11111111
  24. 111
  25. 123454321
  26. 999999999
  27. 888888888
  28. 444
  29. 222
  30. 888
  31. 11111
  32. 12321
  33. 111111111
  34. 9876
  35. 1234321
  36. 1234321
  37. 555
  38. 111111
  39. 1111111
  40. 111111111

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